GCD of 377, 518, 90, 513 Calculator

Given Input numbers are 377, 518, 90, 513

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 377, 518, 90, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 377, 518, 90, 513 is 1.

Therefore, GCD of numbers 377, 518, 90, 513 is 1

Given Input Data is 377, 518, 90, 513

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 377 is 13 x 29

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 513 is 3 x 3 x 3 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(377, 518) = 195286

GCD(377, 518) = ( 377 x 518 ) / 195286

GCD(377, 518) = 195286 / 195286

GCD(377, 518) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 377, 518, 90, 513 is 1

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1. What is the GCD of 377, 518, 90, 513?

GCD of 377, 518, 90, 513 is 1

2. Where do I get the detailed procedure to find GCD of 377, 518, 90, 513?

You can find a detailed procedure to find GCD of 377, 518, 90, 513 on our page.

3. How to find GCD of 377, 518, 90, 513 on a calculator?

You can find the GCD of 377, 518, 90, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.